vecmat

Low-dimensional vector and matrix structures and common operations for them

Documentation

• crates.io version documentation
• master branch documentation

Usage

extern crate vecmat;

use vecmat::vec::*;
use vecmat::mat::*;

fn main() {
    // Create vectors
    let mut va = Vec3::<f64>::new(); // filled with zeros
    let vb = Vec3::<f64>::from(1.0, 2.0, 3.0); // from values
    println!("{}, {}", va, vb);

    // Vector access
    va[1] = vb[0]; // read and write 
    va[0] += 3.0; // add-assign
    println!("{}", va);

    // Vector products
    println!("{}", 2.0*vb); // scalar-by-vector
    println!("{}", va*vb); // component-wise
    println!("{}", va.dot(vb)); // dot
    println!("{}", va.cross(vb)); // cross

    // Distance between two vectors
    println!("{}", (va - vb).length());

    // Create matrices
    let mut ma = Mat3::<f64>::one(); // identity 3x3 matrix
    let mb = Mat3x2::<f64>::from( // 3x2 matrix from values
        1.0, 2.0, 0.0,
        0.0,-1.0, 1.0,
    );
    println!("{},\n{}", ma, mb);

    // Access matrix components
    ma[(1,1)] = 2.0; // access by (i,j) indices
    ma[(0,2)] = -3.0;
    ma[(2,0)] = -1.0;
    println!("{}", ma);

    // Transpose matrix
    println!("{}", mb.transpose());

    // Matrix-vector product
    println!("{}", mb.dot(vb));
    println!("{}", va.dot(ma));

    // Matrix-matrix product
    println!("{}", mb.dot(ma));

    // Outer product of vectors
    println!("{}", va.outer(vb));

    // Determinant and inverse matrix
    println!("{}", ma.det());
    println!("{}", ma.inverse());
}

Structs:

• Vectors: vec::VecN<T> where N is 2, 3 or 4
• Matrices: mat::MatNxM<T> (or mat::MatN<T> for square matrices) where N and M are 2, 3 or 4
• Transformations: map::AffineN<T> - affine transformation for vectors

Features:

Linear algebra

• Vector and matrix arithmetcs (component-wise +, -, *, /)
• Integer vector arithmetics (div_floor and mod_floor for integer vectors)
• Boolean vectors (vector comparison, all, any)
• dot, cross and outer products for vectors
• Matrix-matrix and matrix-vector multiplication
• Square matrix det and inverse

Complex analysis

• Complex numbers
• Quaternions

Transformations

• Affine transformations for vector (with inverse)
• Moebius transformation

License

Licensed under either of

• Apache License, Version 2.0 (LICENSE-APACHE or http://www.apache.org/licenses/LICENSE-2.0)
• MIT license (LICENSE-MIT or http://opensource.org/licenses/MIT)

at your option.

Contribution

Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in the work by you, as defined in the Apache-2.0 license, shall be dual licensed as above, without any additional terms or conditions.